Question

If g = {(1,1),(2,3),(3,5),(4,7)} is a function given by g(x) = αx + β then the values of α and β are​

Answer 1

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Given :

• G = {(1,1),(2,3),(3,5),(4,7)}
• Now given that, g(x) = αx+β

To Find :

Values of α and β.

Find :

g(1) = 1 ⇒ α+β = 1

g(2) = 3 ⇒ 2α+β = 3

Solving (i) and (ii), we get

α = 2, β = -1

∴ g(x) = 2x - 1

Hence, Value of α = 2 and β = -1.